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An elastic-plastic theoretical analysis model of wheel-rail rolling contact behaviour

轮轨滚动接触行为弹塑性理论分析模型

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Abstract

An accurate wheel-rail contact theoretical model is crucial for predicting wheel-rail wear and rolling contact fatigue. The plastic damage occurs frequently in the high-speed wheel-rail contact area at present; however, the state-of-the-art wheel-rail rolling contact theoretical models hardly take into account plastic behaviour. In this study, a three-dimensional elastic-plastic theoretical analysis model of wheel-rail rolling contact was established, based on the Vermeulen-Johnson (V-J) rolling contact theory and the bilinear hardening model. The stress distribution of the elastic-plastic wheel-rail contact area was expounded, the analytical formula of elastic-plastic creep force/creepage was derived, and the mapping relationship of wheel-rail elastic-plastic creep force/creepage was constructed. Besides, the strain rate effect of wheel/rail materials on the elastic-plastic creep force/creepage curve was also investigated. Finally, the proposed elastic-plastic theoretical model was verified by the corresponding experimental and finite element simulation results. The results indicate that the plastic deformation in the wheel-rail contact area leads to a decrease in the initial slope of the creep force/creepage curve, but an increase in the saturation creepage. The strain rate effect increases the initial slope of the elastic-plastic creep force/creepage curve. The proposed theoretical model is of great significance to the damage assessment of high-speed wheel-rail systems.

摘要

轮轨接触理论模型对准确预测轮轨磨损和滚动接触疲劳至关重要. 目前高速轮轨接触区域的塑性损伤频繁发生, 然而现有的轮 轨滚动接触理论模型极少考虑轮轨塑性力学行为. 本文基于Vermeulen-Johnson滚动接触理论和双线性强化模型, 建立了三维轮轨滚动 接触弹塑性理论分析模型, 阐明了轮轨弹塑性接触区域应力分布规律, 给出了弹塑性蠕滑力/率解析式, 构建了轮轨滚动接触弹塑性蠕 滑力/率映射关系, 讨论了轮轨材料应变率效应对弹塑性蠕滑力/率的影响, 并通过试验和有限元仿真验证了轮轨滚动接触弹塑性理论 模型的有效性. 研究结果还表明, 轮轨接触区域塑性变形导致蠕滑力/率曲线初始斜率减小、饱和蠕滑率增大, 轮轨材料应变率效应会 增大弹塑性蠕滑力/率曲线初始斜率. 本文提出的理论模型对高速轮轨系统的损伤评估具有重要意义.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 12122211, 11772275, U19A20110, and 51825504), and Research Fund of State Key Laboratory of Traction Power (Grant No. 2019TPL-T11).

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Authors and Affiliations

  1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, 610031, China

    Lin Jing  (敬霖), Xiongfei Zhou  (周雄飞) & Kaiyun Wang  (王开云)

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  1. Lin Jing  (敬霖)
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  2. Xiongfei Zhou  (周雄飞)
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  3. Kaiyun Wang  (王开云)
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Contributions

Lin Jing: Conceptualization, Methodology, Investigation, Writing original draft, Funding acquisition. Xiongfei Zhou: Data curation, Validation, Investigation, Writing review & editing. Kaiyun WangMethodology, Writing review & editing, Supervision, Funding acquisition.

Corresponding author

Correspondence to Kaiyun Wang  (王开云).

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Jing, L., Zhou, X. & Wang, K. An elastic-plastic theoretical analysis model of wheel-rail rolling contact behaviour. Acta Mech. Sin. 39, 422465 (2023). https://doi.org/10.1007/s10409-023-22465-x

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